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Finding the Fourth Proportional to 6,518.77, 9,778.23 and 4,311.73

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Solution

The fourth proportional to 6,518.77, 9,778.23 and 4,311.73 is: 6,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.77 : 9,778.23 = 4,311.73 : x
  2. Step 2: Convert to fraction form
    6,518.77/9,778.23 = 4,311.73/x
  3. Step 3: Cross multiply
    6,518.77x = 9,778.23 × 4,311.73
  4. Step 4: Simplify right side
    6,518.77x = 42,161,038.75
  5. Step 5: Solve for x
    x = 42,161,038.75/6,518.77
  6. Step 6: Final answer
    x = 6,467.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.